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13992971155524 = 2232592105672
BaseRepresentation
bin1100101110011111111000…
…0100110011100001000100
31211112201022012220122210100
43023213332010303201010
53313230101103434044
645432140542324100
72642646604224444
oct313477604634104
954481265818710
1013992971155524
11450542746a809
12169bb21889630
137a66ba98bc8a
14365398b64124
15193ec8cd7869
hexcb9fe133844

13992971155524 has 81 divisors (see below), whose sum is σ = 35984198599167. Its totient is φ = 4584833461008.

The previous prime is 13992971155511. The next prime is 13992971155529. The reversal of 13992971155524 is 42555117929931.

The square root of 13992971155524 is 3740718.

It is a perfect power (a square), and thus also a powerful number.

13992971155524 is a `hidden beast` number, since 1 + 3 + 9 + 9 + 2 + 9 + 71 + 1 + 5 + 552 + 4 = 666.

13992971155524 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (13992971155529) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1324208889 + ... + 1324219455.

Almost surely, 213992971155524 is an apocalyptic number.

13992971155524 is the 3740718-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13992971155524

13992971155524 is an abundant number, since it is smaller than the sum of its proper divisors (21991227443643).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13992971155524 is an frugal number, since it uses more digits than its factorization.

13992971155524 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21262 (or 10631 counting only the distinct ones).

The product of its digits is 30618000, while the sum is 63.

The spelling of 13992971155524 in words is "thirteen trillion, nine hundred ninety-two billion, nine hundred seventy-one million, one hundred fifty-five thousand, five hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 59 118 177 236 354 531 708 1062 2124 3481 6962 10443 10567 13924 20886 21134 31329 31701 41772 42268 62658 63402 95103 125316 126804 190206 380412 623453 1246906 1870359 2493812 3740718 5611077 7481436 11222154 22444308 36783727 73567454 110351181 111661489 147134908 220702362 223322978 331053543 334984467 441404724 446645956 662107086 669968934 1004953401 1324214172 1339937868 2009906802 4019813604 6588027851 13176055702 19764083553 26352111404 39528167106 59292250659 79056334212 118584501318 237169002636 388693643209 777387286418 1166080929627 1554774572836 2332161859254 3498242788881 4664323718508 6996485577762 13992971155524